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A Consistent Allocation Rule: Non-emptiness, Reductions, Domination and Axiomatization

Author

Listed:
  • Ling-Yun Chung

    (Graduate School of Technological and Vocational Education, National Yunling University of Science and Technology, Douliou, Yunlin 64002, TAIWAN)

  • Yu-Hsien Liao

    (Department of Applied Mathematics, National Pingtung University, Pingtung 900, TAIWAN)

Abstract

Since an extended core violates related properties of consistency, this paper proposes the concept of pseudo core. By focusing on the agents and the operational levels simultaneously, an extended reduction is also introduced to axiomatize the pseudo core. Furthermore, this paper adopts the duality results of linear programming theory to determine the non-emptiness of the pseudo core. By investigating the domination among payoff vectors, this article also proposes the dominance core and related coincidences between the pseudo core and the dominance core.

Suggested Citation

  • Ling-Yun Chung & Yu-Hsien Liao, 2014. "A Consistent Allocation Rule: Non-emptiness, Reductions, Domination and Axiomatization," Review of Economics & Finance, Better Advances Press, Canada, vol. 4, pages 61-74, November.
    • Handle: RePEc:bap:journl:140405
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    The core; Consistency; Reduction; Non-emptiness; Domination;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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